2101017290004 has 144 divisors (see below), whose sum is σ = 5456262809088. Its totient is φ = 681358877184.

The previous prime is 2101017290003. The next prime is 2101017290039. The reversal of 2101017290004 is 4000927101012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101017290004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101017290003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255066574 + ... + 255074810.

It is an arithmetic number, because the mean of its divisors is an integer number (37890713952).

Almost surely, 2^{2101017290004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101017290004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728131404544).

2101017290004 is an abundant number, since it is smaller than the sum of its proper divisors (3355245519084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101017290004 is a wasteful number, since it uses less digits than its factorization.

2101017290004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 2101017290004 in words is "two trillion, one hundred one billion, seventeen million, two hundred ninety thousand, four".